Special Functions of Mathematical (Geo-)Physics

1. Introduction: Geomathematical Motivation
Willi Freeden, Martin Gutting

Part I. Auxiliary Functions

2. The Gamma Function
Willi Freeden, Martin Gutting

3. Orthogonal Polynomials
Willi Freeden, Martin Gutting

Part II. Spherically Oriented Functions

4. Scalar Spherical Harmonics in R^3
Willi Freeden, Martin Gutting

5. Vectorial Spherical Harmonics in R^3
Willi Freeden, Martin Gutting

6. Spherical Harmonics in R^q
Willi Freeden, Martin Gutting

7. Classical Bessel Functions
Willi Freeden, Martin Gutting

8. Bessel Functions in R
Willi Freeden, Martin Gutting

Part III. Periodically Oriented Functions

9. Lattice Functions in R
Willi Freeden, Martin Gutting

10. Lattice Functions in R

Willi Freeden, Martin Gutting

11. Concluding Remarks
Willi Freeden, Martin Gutting

Keywords: Mathematics, Special Functions, Mathematical Physics, Geophysics/Geodesy, Partial Differential Equations, Abstract Harmonic Analysis, Meteorology/Climatology